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Finding the Third Proportional to 17,287.75 and 35,209.75

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Solution

The third proportional to 17,287.75 and 35,209.75 is: 71,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.75 : 35,209.75 = 35,209.75 : x
  2. Step 2: Convert to fraction form
    17,287.75/35,209.75 = 35,209.75/x
  3. Step 3: Cross multiply
    17,287.75x = 35,209.75 × 35,209.75
  4. Step 4: Simplify right side
    17,287.75x = 1,239,726,495.06
  5. Step 5: Solve for x
    x = 1,239,726,495.06/17,287.75
  6. Step 6: Final answer
    x = 71,711.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.